Search a number
-
+
189775872 = 214341113
BaseRepresentation
bin10110100111111…
…00000000000000
3111020002121120000
423103330000000
5342040311442
630455320000
74463032266
oct1323740000
9436077500
10189775872
119813a470
1253680000
1330417720
141b2c0436
15119d9d4c
hexb4fc000

189775872 has 300 divisors, whose sum is σ = 666087576. Its totient is φ = 53084160.

The previous prime is 189775853. The next prime is 189775889. The reversal of 189775872 is 278577981.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (1975680) is a multiple of the sum of its prime factors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14598138 + ... + 14598150.

Almost surely, 2189775872 is an apocalyptic number.

189775872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 189775872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (333043788).

189775872 is an abundant number, since it is smaller than the sum of its proper divisors (476311704).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

189775872 is an equidigital number, since it uses as much as digits as its factorization.

189775872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 29 counting only the distinct ones).

The product of its digits is 1975680, while the sum is 54.

The square root of 189775872 is about 13775.9163760528. The cubic root of 189775872 is about 574.6635682840.

The spelling of 189775872 in words is "one hundred eighty-nine million, seven hundred seventy-five thousand, eight hundred seventy-two".